A box contains 50 marbles, x (x > 1) of them are white and the rest are all black. Two of the50 marbles are selected at random without replacement. What is the value x, which makesthe probability that exactly one or zero of the two selected marbles is white equal 158/245?2010UnsolvableNone among the others30

Answered: A box contains 50 marbles, x (x > 1) of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Similar questions

A huge pencil bag contains 40 pencils of two different shades, 4B and 6B. Initially, there are x numbers of 6B pencils in the bag. If 45 more 6B pencils are put in the bag, the probability of randomly picking a 6B pencil now will be quadruple that of the previous probability of picking a 6B pencil. With the given information, evaluate the original number of 6B shade in the pencil bag.
The probability that if we choose 10 people randomly there are at least 2 smokers is 0.4557. The probability that there are at most 2 smokers is 0.8202. Find the probability that there are precisely 2 smokers.
There are two bags A and B. Bag A contains n white balls and 2 black balls while bag B contains 2 white balls and n black balls. One of the two bags is selected at random and two balls are drawn from it without replacement. We know that if both the balls drawn are white balls, the probability of bag A being selected to draw the balls is . Find the value of n.
Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
Bonnie and Connie are twins with identical purses. Bonnie needs 35 cents to pay for a parking meter. Suppose that Bonnie's purse has 5 quarters, 3 dimes, and 2 nickels while Connie's purse has 2 quarters, 5 dimes, and 3 nickels in it. Not being able to tell the difference between the purses, Connie picks one at random and grabs two coins from it. What is the probability that Bonnie picked her own purse given that she drew out enough change to pay for her parking meter? (Note: Bonnie needs to put in at least 35 cents to pay her parking meter.)
A group of five students went to a hotel with 10 upper floors and a ground floor. The students simultaneously enter the elevator at the ground floor. The students choose their exit floors independently of each other. Determine the probability that they are all going to different floors when each student randomly chooses one of the 10 floors as their exit floor.
Suppose that the population is 1000 people and the probability of cat people is 25% if we take a random sample of 100 people what is the probability that the proportion in the sample will be bigger than 29%
In a suitcase there are 5 orange, y green, (y+2) grey and 6 yellow pens. Probability of choosing one green pen from the given suitcase is 1/3. What is the sum of the number of green, grey and yellow pens?

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